What is the Greatest Common Factor of 74995 and 75008?
Greatest common factor (GCF) of 74995 and 75008 is 1.
GCF(74995,75008) = 1
We will now calculate the prime factors of 74995 and 75008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74995 and 75008.
How to find the GCF of 74995 and 75008?
We will first find the prime factorization of 74995 and 75008. After we will calculate the factors of 74995 and 75008 and find the biggest common factor number .
Step-1: Prime Factorization of 74995
Prime factors of 74995 are 5, 53, 283. Prime factorization of 74995 in exponential form is:
74995 = 51 × 531 × 2831
Step-2: Prime Factorization of 75008
Prime factors of 75008 are 2, 293. Prime factorization of 75008 in exponential form is:
75008 = 28 × 2931
Step-3: Factors of 74995
List of positive integer factors of 74995 that divides 74995 without a remainder.
1, 5, 53, 265, 283, 1415, 14999
Step-4: Factors of 75008
List of positive integer factors of 75008 that divides 74995 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 293, 586, 1172, 2344, 4688, 9376, 18752, 37504
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 74995 and 75008. The biggest common factor number is the GCF number.
So the greatest common factor 74995 and 75008 is 1.
Also check out the Least Common Multiple of 74995 and 75008
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Related Greatest Common Factors of 75008
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